Least Common Multiple of 8850 and 8858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8850 and 8858 the smallest integer that is 39196650 that is divisible by both numbers.

Least Common Multiple (LCM) of 8850 and 8858 is 39196650.

LCM(8850,8858) = 39196650

LCM of 8850 and 8858

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8850 and 8858

LCM of 8850 and 8858 is 39196650

Least common multiple can be found by multiplying the highest exponent prime factors of 8850 and 8858. First we will calculate the prime factors of 8850 and 8858.

Prime Factorization of 8850


2 8850
3 4425
5 1475
5 295
59 59
1

Prime factors of 8850 are 2, 3, 5,59. Prime factorization of 8850 in exponential form is:

8850 = 21×31×52×591

Prime Factorization of 8858


2 8858
43 4429
103 103
1

Prime factors of 8858 are 2, 43,103. Prime factorization of 8858 in exponential form is:

8858 = 21×431×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8850 and 8858.

LCM(8850,8858) = 21×31×52×431×591×1031
LCM(8850,8858) = 39196650

Factors of 8850

List of positive integer factors of 8850 that divides 8850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850

Factors of 8858

List of positive integer factors of 8858 that divides 8858 without a remainder.

1, 2, 43, 86, 103, 206, 4429, 8858

Least Common Multiple of 8850 and 8858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8850 and 8858, than apply into the LCM equation.

GCF(8850,8858) = 2
LCM(8850,8858) = ( 8850 × 8858) / 2
LCM(8850,8858) = 78393300 / 2
LCM(8850,8858) = 39196650

Properties of LCM 8850 and 8858

(i) The LCM of 8858 and 8850 is associative

LCM of 8850 and 8858 = LCM of 8858 and 8850

Related Least Common Multiples of 8850

Related Least Common Multiples of 8858

Frequently Asked Questions on LCM of 8850 and 8858

1. What is the LCM of 8850 and 8858?

Answer: LCM of 8850 and 8858 is 39196650.

2. What are the Factors of 8850?

Answer: Factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850. There are 24 integers that are factors of 8850. The greatest factor of 8850 is 8850.

3. What are the Factors of 8858?

Answer: Factors of 8858 are 1, 2, 43, 86, 103, 206, 4429, 8858. There are 8 integers that are factors of 8858. The greatest factor of 8858 is 8858.

4. How to Find the LCM of 8850 and 8858?

Answer:

Least Common Multiple of 8850 and 8858 = 39196650

Step 1: Find the prime factorization of 8850

8850 = 2 x 3 x 5 x 5 x 59

Step 2: Find the prime factorization of 8858

8858 = 2 x 43 x 103

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 39196650 = 2 x 3 x 5 x 5 x 43 x 59 x 103

Step 4: Therefore, the least common multiple of 8850 and 8858 is 39196650.